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Ok, since the insults have been flowing, there's no real risk of "feeding a troll" ... more of "answering a fool according to his folly".

We have to start with a definition: circle is a set of points equidistant from a given (fixed) point.

Now for your triangle (in the image) --> the vertex on the right is clearly the center of the circle, i.e. the fixed point from our definition above. Your image/reasoning falls apart because I can demonstrate the following:

Given any two points on the circle (like, for example, the two vertices on the left of your triangle), we can find a third point on the circle that is "between" the other two, yet is not on the line containing those two points.

We can then repeat this process with the NEW point and one of the old points. And we can do this forever... "zooming in" more and more, yet never getting a different picture or running out of vertices.